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math.NA2015
Adapted nested force-gradient integrators: the Schwinger model case
Dmitry Shcherbakov, Matthias Ehrhardt, Jacob Finkenrath +3
We study a novel class of numerical integrators, the adapted nested force-gradient schemes, used within the molecular dynamics step of the Hybrid Monte Carlo (HMC) algorithm. We te…
math.NA2013
Force-Gradient Nested Multirate Methods for Hamiltonian System
Dmitry Shcherbakov, Matthias Ehrhardt, Michael Günther +1
Force-gradient decomposition methods are used to improve the energy preservation of symplectic schemes applied to Hamiltonian systems. If the potential is composed of different par…